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Alenkasestr [34]
3 years ago
7

Which multiplication properties is 1/5•5

Mathematics
1 answer:
allsm [11]3 years ago
8 0

See picture for solution to your problem.

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Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui
Vesnalui [34]
<h3>The dimensions of the given rectangular box are:</h3><h3>L  =   15.874 cm  , B  =  15.874 cm   , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box  

= Area of the base +  4 x ( Area of the adjacent faces)

=  S x S  +  4 ( S x H)   = S² +  4 SH   ..... (1)

Also, Area of the box  = S x S x H  =  S²H

⇒ S²H = 2000

\implies H = \frac{2000}{S^2}

Substituting the value of H in (1), we get:

A = S^2 + 4 SH =  S^2 + 4 S(\frac{2000}{S^2}) =  S^2 + (\frac{8000}{S})\\\implies A  =  S^2 + (\frac{8000}{S})

Now, to minimize the area put :

(\frac{dA}{dS} ) = 0 \implies 2S  - \frac{8000}{S^2}  = 0\\\implies S^3 = 4000\\\implies S  = 15.874 \approx 16 cm

Putting the value of S  = 15.874 cm in the value of H , we get:

\implies H = \frac{2000}{S^2}  =  \frac{2000}{(15.874)^2} = 7.8937 cm

Hence, the dimensions of the given rectangular box are:

L  =   15.874 cm

B  = 15.874 cm

H = 7.8937 cm

3 0
3 years ago
54 ÷ 6 x (12-4) + 2 =​
Aleksandr-060686 [28]

Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

5 0
3 years ago
Read 2 more answers
The plate is rotated 90° about the origin in the counterclockwise direction. In the rotated trapezoid, what are the coordinates
Crazy boy [7]

You haven't provided the coordinates of the original trapezium, therefore, I can only help with the concept.

From the givens, we can know that the rotation was 90° counter-clockwise about the origin.

<u>The rule for this rotation is:</u>

(x , y) ..............> (-y , x)

This means that to get the points of the rotated image, negate the y-value then exchange it with the x-value

<u>Examples:</u>

(1 , 3) rotated 90° counter-clockwise about the origin will give (-3 , 1)

(-2 , 4) rotated 90° counter-clockwise about the origin will give (-4 , -2)

(1 , -2) rotated 90° counter-clockwise about the origin will give (2 , 1)

(-3 , -5) rotated 90° counter-clockwise about the origin will give (5 , -3)

Hope this helps :)


4 0
3 years ago
Read 2 more answers
What is the answer to this please??
SIZIF [17.4K]

The length of CA is opposite of angle B and since the hypotenuse is known, you can write an equation like this: sin 40 = x/7 which simplifies to sin40 * 7 = x. The answer is A

8 0
3 years ago
What is the perimeter of this equilateral triangle?
bonufazy [111]

9 + 9 + 9

27

your welcome


5 0
2 years ago
Read 2 more answers
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